Target Space Duality in Noncommutative Geometry

Details Target Space Duality in Noncommutative Geometry Target Space Duality in Noncommutative Geometry

1997-06-13

arxiv.org/abs/hep-th/9706107v1

Phys.Rev.Lett. 79 (1997) 3581-3584

Physics

High Energy Physics

High Energy Physics - Theory

8 pages Latex

Scientific paper

10.1103/PhysRevLett.79.3581

The structure of spacetime duality and discrete worldsheet symmetries of compactified string theory is examined within the framework of noncommutative geometry. The full noncommutative string spacetime is constructed using the Frohlich-Gawedzki spectral triple which incorporates the vertex operator algebra of the string theory. The duality group appears naturally as a subgroup of the automorphism group of the vertex operator algebra and spacetime duality is shown to arise as the possibility of associating two independent Dirac operators, arising from the chiral structure of the worldsheet theory, to the noncommutative geometry.

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